Title

A Finite Element Method for Various Kinds of Initial Value Problems

Description

This paper presents some basic considerations to a most fundamental finite element scheme for initial value problems. The stability and the convergence of the approximate solution are obtained theoretically under some fundamental assumptions on the spatial operator, and it is shown that this scheme is applicable to wide and important classes of evolution equations. Numerical experiments are also performed to various kinds of evolution equations in order to demonstrate the validity of the present method.

Creator

Ando, Y.

Kikuchi, F.

Abstract

This paper presents some basic considerations to a most fundamental finite element scheme for initial value problems. The stability and the convergence of the approximate solution are obtained theoretically under some fundamental assumptions on the spatial operator, and it is shown that this scheme is applicable to wide and important classes of evolution equations. Numerical experiments are also performed to various kinds of evolution equations in order to demonstrate the validity of the present method.

Corporate Author

University of Tokyo

Report Number

AFFDL TR 71-160 p. 169-213

Report Availability

Full text available

Publisher

Wright-Patterson Air Force Base, OH : Air Force Flight Dynamics Laboratory, Air Force Systems Command and Air Force Institute of Technology, Air University

Date

1973

Type

article

Date Issued

1973-12

Provenance

Bombardier/Aero

Distribution Classification

1

Distribution Conflict

No

DTIC Record Exists

No

Format

1 online resource (44 pages) : ill.

Extent

44

Identifier

AD0785968

Is Part Of

Proceedings of the Third Conference on Matrix Methods in Structural Mechanics: Proceedings of the Conference held at Wright-Patterson Air Force Base, Ohio 19-21 October 1971